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An important goal of environmental health research is to assess the risk posed by mixtures of environmental exposures. Two popular classes of models for mixtures analyses are response-surface methods and exposure-index methods.…

统计方法学 · 统计学 2025-05-01 Glen McGee , Ander Wilson , Thomas F. Webster , Brent A. Coull

Optimizing wheat variety selection for high performance in different environmental conditions is critical for reliable food production and stable incomes for growers. We employ a statistical machine learning framework utilizing Gaussian…

Gaussian Process (GP) models provide a flexible framework for prediction and uncertainty quantification. For most covariance functions, however, exact GP prediction with $n$ points scales as $\mathcal{O}(n^3)$, making it prohibitively…

统计计算 · 统计学 2026-05-29 Samanyu Arora , Christopher J. Geoga

Gaussian processes (GPs) are a Bayesian machine learning approach widely used to construct surrogate models for the uncertainty quantification of computer simulation codes in industrial applications. It provides both a mean predictor and an…

Reliable uncertainty quantification for causal effects is crucial in various applications, but remains difficult in nonparametric models, particularly for continuous treatments. We introduce IMPspec, a Gaussian process (GP) framework for…

机器学习 · 统计学 2025-10-16 Hugh Dance , Peter Orbanz , Arthur Gretton

Some scenarios require the computation of a predictive distribution of a new value evaluated on an objective function conditioned on previous observations. We are interested on using a model that makes valid assumptions on the objective…

机器学习 · 计算机科学 2021-01-21 Lucia Asencio-Martín , Eduardo C. Garrido-Merchán

In this work, we propose a novel generative method to identify the causal impact and apply it to prediction tasks. We conduct causal impact analysis using interventional and counterfactual perspectives. First, applying interventions, we…

机器学习 · 计算机科学 2025-09-03 Soma Bandyopadhyay , Sudeshna Sarkar

Causal inference is central to statistics and scientific discovery, enabling researchers to identify cause-and-effect relationships beyond associations. While traditionally studied within Euclidean spaces, contemporary applications…

统计方法学 · 统计学 2025-07-01 Satarupa Bhattacharjee , Bing Li , Xiao Wu , Lingzhou Xue

Recent causal inference literature has introduced causal effect decompositions to quantify sources of observed inequalities or disparities in outcomes, but these approaches are typically limited to pairwise comparisons. In healthcare…

统计方法学 · 统计学 2026-04-27 Lin Yu , Zhihui Liu , Kathy Han , Olli Saarela

Existing statistical methods in causal inference often assume the positivity condition, where every individual has some chance of receiving any treatment level regardless of covariates. This assumption could be violated in observational…

统计方法学 · 统计学 2025-01-22 Yikun Zhang , Yen-Chi Chen , Alexander Giessing

Gaussian Processes (GPs) are highly expressive, probabilistic models. A major limitation is their computational complexity. Naively, exact GP inference requires $\mathcal{O}(N^3)$ computations with $N$ denoting the number of modeled points.…

机器学习 · 计算机科学 2022-06-23 Gordian Edenhofer , Reimar H. Leike , Philipp Frank , Torsten A. Enßlin

Estimating an individual's counterfactual outcomes under interventions is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, facial images) and…

机器学习 · 计算机科学 2025-03-19 Yulun Wu , Louie McConnell , Claudia Iriondo

When drawing causal inferences about the effects of multiple treatments on clustered survival outcomes using observational data, we need to address implications of the multilevel data structure, multiple treatments, censoring and unmeasured…

统计方法学 · 统计学 2022-02-18 Liangyuan Hu , Jiayi Ji , Ronald D. Ennis , Joseph W. Hogan

Gaussian Processes (GPs) provide a general and analytically tractable way of modeling complex time-varying, nonparametric functions. The Automatic Bayesian Covariance Discovery (ABCD) system constructs natural-language description of…

机器学习 · 计算机科学 2016-02-15 Yunseong Hwang , Anh Tong , Jaesik Choi

Many inferential tasks involve fitting models to observed data and predicting outcomes at new covariate values, requiring interpolation or extrapolation. Conventional methods select a single best-fitting model, discarding fits that were…

统计方法学 · 统计学 2026-01-01 Soonhong Cho , Doeun Kim , Chad Hazlett

Gaussian processes (GPs) are powerful probabilistic models that define flexible priors over functions, offering strong interpretability and uncertainty quantification. However, GP models often rely on simple, stationary kernels which can…

机器学习 · 计算机科学 2025-05-20 Nima Negarandeh , Carlos Mora , Ramin Bostanabad

This paper explores a Gaussian process emulator based approach for rapid Bayesian inference of contaminant source location and characteristics in an indoor environment. In the pre-event detection stage, the proposed approach represents…

应用统计 · 统计学 2013-05-15 Piyush M. Tagade , Byeong-Min Jeong , Han-Lim Choi

Determining subgroups that respond especially well (or poorly) to specific interventions (medical or policy) requires new supervised learning methods tailored specifically for causal inference. Bayesian Causal Forest (BCF) is a recent…

机器学习 · 统计学 2022-09-16 Nikolay Krantsevich , Jingyu He , P. Richard Hahn

The increasing availability of high-dimensional, longitudinal measures of gene expression can facilitate understanding of biological mechanisms, as required for precision medicine. Biological knowledge suggests that it may be best to…

应用统计 · 统计学 2025-04-18 Jiachen Cai , Robert J. B. Goudie , Colin Starr , Brian D. M. Tom

Spatial epidemiology identifies the drivers of elevated population-level disease risks, using disease counts, exposures and known confounders at the areal unit level. Poisson regression models are typically used for inference, which…

统计方法学 · 统计学 2026-02-03 Duncan Lee , Vinny Davies